Pith Number

pith:6G4YDRDD

pith:1998:6G4YDRDD7LJI2MEMTE7VYCAIPU

not attested not anchored not stored refs pending

Mass Renormalization for Time Dependent Correlation Functions in Shibata-Hashitsume's Projection Operator Method

F.Takagi, M.Maruyama, T.Koide

arxiv:hep-th/9803070 v1 · 1998-03-09 · hep-th · nucl-th · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6G4YDRDD7LJI2MEMTE7VYCAIPU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-04T14:33:11.501221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1b981c463fad28d308c993f5c08087d3ca4e842716088e9c17eb19eaab1e598

Aliases

arxiv: hep-th/9803070 · arxiv_version: hep-th/9803070v1 · doi: 10.48550/arxiv.hep-th/9803070 · pith_short_12: 6G4YDRDD7LJI · pith_short_16: 6G4YDRDD7LJI2MEM · pith_short_8: 6G4YDRDD

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/6G4YDRDD7LJI2MEMTE7VYCAIPU \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: f1b981c463fad28d308c993f5c08087d3ca4e842716088e9c17eb19eaab1e598

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41aee0b575d098bfc37be98eecdc8eafc6f6284c1182ebfd66b8c502a0413e8f",
    "cross_cats_sorted": [
      "nucl-th",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1998-03-09T04:42:48Z",
    "title_canon_sha256": "38626c88477446602784e957fb845d33158c8a06a58d2610340eca7db5e3f573"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9803070",
    "kind": "arxiv",
    "version": 1
  }
}